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Quarterly published "Inventi Impact: Engineering Mathematics" is an interdisciplinary journal focusing on engineering applications of mathematics. It publishes high quality unpublished as well as high impact pre-published research and reviews related to various topics including: Numerical analysis, Computational methods, Continuum mechanics, Fluid mechanics, Solid mechanics, Nonlinear mechanics, Fracture mechanics, Biomedical engineering, Geophysical engineering, Reaction-diffusion problems etc.
Bezerra et al. 2008 proposed a new method, based on Yule-Walker equations, to estimate the\r\nARMA spectral model. In this paper, a Bayesian approach is developed for this model by using\r\nthe noninformative prior proposed by Jeffreys 1967. The Bayesian computations, simulation via\r\nMarkov Monte Carlo MCMC is carried out and characteristics of marginal posterior distributions\r\nsuch as Bayes estimator and confidence interval for the parameters of the ARMA model are\r\nderived. Both methods are also compared with the traditional least squares and maximum\r\nlikelihood approaches and a numerical illustration with two examples of the ARMA model is\r\npresented to evaluate the performance of the procedures...
In this paper, a class of smoothing modulus-based iterative method was presented
for solving implicit complementarity problems. The main idea was to
transform the implicit complementarity problem into an equivalent implicit
fixed-point equation, then introduces a smoothing function to obtain its approximation
solutions. The convergence analysis of the algorithm was given,
and the efficiency of the algorithms was verified by numerical experiments....
We investigate the accuracy and the computational efficiency of the numerical schemes for evaluating fluid forces in Cartesian\ngrid systems. A comparison is made between two different types of schemes, namely, polygon-based methods and mesh-based\nmethods, which differ in the discretization of the surface of the object. The present assessment is intended to investigate the effects\nof the Reynolds number, the object motion, and the complexity of the object surface.The results show that the mesh-based methods\nwork as well as the polygon-based methods, even if the object surface is discretized in a staircase manner. In addition, the results\nalso show that the accuracy of the mesh-based methods is strongly dependent on the evaluation of shear stresses, and thus they\nmust be evaluated by using a reliable method, such as the ghost-cell or ghost-fluid method....
In any completely close complex field C, generalized transcendental meromorphic
functions may have some new properties. It is well known that a
meromorphic function of characteristic zero is a rational function. This paper
introduced some mathematical properties of the transcendental meromorphic
function, which is generalized to the meromorphic function by multiplying
and differentiating the generalized meromorphic function....................
In this work, the fluid mechanics performance of four different contraction wall shapes has\nbeen studied and compared side-by-side by computational simulation, and the effect of contraction\ncross-sectional shape on the flow uniformity at the contraction exit has been included as well.\nA different contraction wall shape could result in up to an extra 4% pressure drop of a closed-loop\nwind tunnel, and the contraction wall shape has a stronger influence on the pressure loss than the\ncontraction cross-sectional shape. The first and the second derivatives from different wall shape\nequations could provide a hint for qualitatively comparing the flow uniformity at the contraction\nexits. A wind tunnel contraction with an octagonal shape provides not only better fluid mechanics\nperformance than that with a circular or a square cross-sectional shape, but also lower manufacturing\ncosts. Moreover, a smaller blockage ratio within the test section can be achieved by employing an\noctagonal cross-sectional shape instead of a circular cross-sectional shape under the same hydraulic\ndiameter circumstance. A wind tunnel contraction with an octagonal cross-sectional shape is\nrecommended to be a design candidate....
This paper discusses the global exponential stability of a class of difference equations.\r\nSufficient and necessary conditions for the global exponential stability are derived.\r\nParticularly, the equivalent relationship between the global exponential stability of\r\ndifference equations and the contractive property of the nonlinear operator of the\r\nsystems is shown....
Turkish Sugar Inc., a public enterprise including 25 factories, is the first corporation of Turkish\r\nindustry. According to the government policy, public sugar factories PSFs will be privatized\r\nas geography-based 6 portfolio groups in two years. As performance measures of PSF affect\r\ngovernment, sugar producers, and several unions in privatizing process, a systematic approach\r\nis necessary to measure efficiencies and grouping factories. This paper uses a new DEA- Data\r\nEnvelopment Analysis- based clustering approach for measuring efficiency scores of PSF and\r\ngrouping them instead of geography- based portfolio groups. This new approach can help decision\r\nmakers in privatizing process. At the same time, target values obtained by dual model can be used\r\nto eliminate inefficiencies of some PSFs....
We attempt to address the issues associated with reliability estimation for phased-mission systems (PMS) and present a novel datadriven\napproach to achieve reliability estimation for PMS using the condition monitoring information and degradation data of such\nsystem under dynamic operating scenario. In this sense, this paper differs from the existing methods only considering the static\nscenario without using the real-time information, which aims to estimate the reliability for a population but not for an individual. In\nthe presented approach, to establish a linkage between the historical data and real-time information of the individual PMS,we adopt\na stochastic filtering model to model the phase duration and obtain the updated estimation of the mission time by Bayesian law at\neach phase. At themeanwhile, the lifetime of PMS is estimated fromdegradation data, which are modeled by an adaptive Brownian\nmotion. As such, themission reliability can be real time obtained through the estimated distribution of the mission time in conjunction\nwith the estimated lifetime distribution.We demonstrate the usefulness of the developed approach via a numerical example....
A system of generalized fuzzy random differential equations with boundary conditions
is investigated, which is a fuzzy version of a system of general random differential equations.
We first present random fixed point (RFP) theorems in fuzzy metric space (FM). In the sequel, we
define the operators that are of integral type. Furthermore, these operators are related to a part
of random differential equations (RDE). For the desired system with boundary conditions, we study
the suitable integral operators associated with a large family of random differential equations. Finally,
we prove the existence of a unique random solution (EURS)....
A recursive method based on successive computations of perimeters of inscribed
regular polygons for estimating π is formulated by employing the Pythagorean
theorem alone without resorting to any trigonometric calculations.
The approach is classical but the formulation of coupled recursion relations is
new. Further, use of infinite series for computing π is explored by an improved
version of Leibniz’s series expansion. Finally, some remarks with reference
to π are made on a relatively recently rediscovered Sumerian tablet
depicting geometric figures....
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